Atkin-Lehner |
3+ 5- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
45135f |
Isogeny class |
Conductor |
45135 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
493551225 = 39 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 4 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-609,5840] |
[a1,a2,a3,a4,a6] |
j |
1270238787/25075 |
j-invariant |
L |
1.656527380726 |
L(r)(E,1)/r! |
Ω |
1.6565273808314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45135a1 |
Quadratic twists by: -3 |